Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SYMMETRIC BI-DERIVATIONS OF SUBTRACTION ALGEBRAS

  • Kim, Kyung Ho (Department of Mathematics, Korea National University of Transportation)
  • Received : 2021.04.23
  • Accepted : 2021.05.06
  • Published : 2021.06.30
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Abstract

In this paper, we introduce the notion of symmetric bi-derivations on subtraction algebra and investigated some related properties. We prove that a map D : X × X → X is a symmetric bi-derivation on X if and only if D is a symmetric map and it satisfies D(x - y, z) = D(x, z) - y for all x, y, z ∈ X.

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References

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